C(5,-2) is translated using the rule (x-3,y+4) what are the coordinates for the new point?

This question is essentially telling you to move the point (5, -2) over three units, and up four units. That means subtract three units from the x-coordinate and add four units to the y-coordinate. So (5 - 3, -2 + 4) --> (2, 2). The coordinates for the new point are (2, 2).

(1,2). the reason is, is because if you plot the point (5,-2) and move the point from the formula, (x-3,y+4) your plot will end up to (1,2).

Losing 30% of its value is the same as saying it is now worth 70% of its original value. To find 70% of 50,000 you can do 50,000 x 0.7. The answer will be the new value of the car after one year. After two years you are essentially finding 70% of the new value which is 70% of the original. More simply, it is 50,000 x 0.7 x 0.7. An equation for this (and the answer to 1b) is 50,000 x 0.7^t where t is the number of years.

1a (i) is $10500 (50,000 x 0.7^1)
(ii) is $2521.05 (50,000 x 0.7^5)
(iii) is $1412.38 (50,000 x 0.7^10)
1b 50,000x0.7^t